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Finding the Third Proportional to 54,331 and 80,920.50

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Solution

The third proportional to 54,331 and 80,920.50 is: 120,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,331 : 80,920.50 = 80,920.50 : x
  2. Step 2: Convert to fraction form
    54,331/80,920.50 = 80,920.50/x
  3. Step 3: Cross multiply
    54,331x = 80,920.50 × 80,920.50
  4. Step 4: Simplify right side
    54,331x = 6,548,127,320.25
  5. Step 5: Solve for x
    x = 6,548,127,320.25/54,331
  6. Step 6: Final answer
    x = 120,522.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.